Worksheet: Estimating Square Roots

This worksheet is designed to help you practice estimating square roots. Questions include finding the square root closest to a number. Solve quadratic equations by taking the square root and estimating the solution.

Q1:

Which of the following numbers is closest to 5?

Q2:

Which of the following numbers is closest to 9?

Q3:

Which of the following is an irrational number that lies between 2 and 3?

A
B
C
D
E2.6

Q4:

In a triangle whose base and height are equal, the base length is given by , where is the area of the triangle. Estimate, to the nearest whole number, the base length of this triangle if its area is 17 square meters.

Q5:

The formula for the area of a square is , where is the side length. Estimate the side length of a square whose area is 74 square inches.

Q6:

Estimate the solution of the following equation to the nearest integer: .

A or
B or
C or
D or